1. ## Vector space

S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

find a linearly independent subset S1 of S such that,L(S1)=L(S).

2. Originally Posted by sbcd90
S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

find a linearly independent subset S1 of S such that,L(S1)=L(S).
$s_1=s_4-s_3$

$s_2=4s_3-s_4$

and obviously $L(S)$ is 2-dimensional, so $L(\{s_3,s_4\})=L(S)$

CB